289121520 has 80 divisors (see below), whose sum is σ = 899719200. Its totient is φ = 76803072.

The previous prime is 289121513. The next prime is 289121563. The reversal of 289121520 is 25121982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×289121520² = 167182506654220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64306 + ... + 68654.

It is an arithmetic number, because the mean of its divisors is an integer number (11246490).

Almost surely, 2^289121520 is an apocalyptic number.

289121520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449859600).

289121520 is an abundant number, since it is smaller than the sum of its proper divisors (610597680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289121520 is a wasteful number, since it uses less digits than its factorization.

289121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 289121520 is about 17003.5737420108. The cubic root of 289121520 is about 661.2415564666.

The spelling of 289121520 in words is "two hundred eighty-nine million, one hundred twenty-one thousand, five hundred twenty".